Question

What is the solution of the system of equations? *hint - multiply each term in one of the equations by a common factor to create opposites that cancel out.

{5x − 6y = −6−x + y = 2

Please help me

Answer 1

The solution to the given system of equations include the following:

x = -6

y = -4

In order to determine the solution to a system of two linear equations, we would have to evaluate and eliminate each of the variables one after the other, especially by selecting a pair of linear equations at each step and then applying the elimination method and Addition Method.

Based on the information provided, we have the following system of linear equations:

5x − 6y = −6 .........equation 1.

−x + y = 2 .........equation 2.

By multiplying the second equation by 6, we have the following:

(−x + y = 2) × 6 = -6x + 6y = 12 .........equation 3.

By adding equation 1 and equation 3, we have the following:

5x − 6y = −6

-6x + 6y = 12

-x = 6

x = -6

For the value of y, we have;

y = x + 2

y = -6 + 2

y = -4